IfA -1-2-3-4B -3-4-5-6-7C -6-7-8-9D -7-8-9-10u A- -3-4-6-7 un un- - 2- A -B Bw 11 - F- 6-7-8-A- 1- e - 2- c - 3- f - 4- d - 5- cB- 1- b - 2- a - 3- c - 4- e - 5- fC- 1- e - 2- c - 3- f - 4- d - 5- aD- 1-b- 2-a- 3-c- 4-e- 5-c

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Byju's Answer

Standard VIII

Mathematics

Intersection of Sets

IfA =1,2,3,4B...

Question

If
A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$\begin{matrix} C o l u m n A & C o l u m n B 1. A \cup B & A . {3, 4, 6, 7} 2. A \cap B & B . \emptyset 3. (B \cap C) \cup D & C . {3, 4} 4. B \cup C \cup D & D . {3, 4, 5, 6, 7, 8, 9, 10} 5. (A \cap B) \cap (B \cup C) & E . {1, 2, 3, 4, 5, 6, 7} F . {6, 7, 8, 9, 10} G . {7} \end{matrix}$

1 - e, 2 - c, 3 - f, 4 -d, 5-c

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1 - e, 2 - c, 3 - f, 4 -d, 5-a

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1 - b, 2 - a, 3 - c, 4 -e, 5-f

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1 - b, 2 - a, 3 - c, 4 -e, 5-c

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Solution

The correct option is A
1 - e, 2 - c, 3 - f, 4 -d, 5-c

A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

1. A ∪ B = {1, 2, 3, 4, 5, 6, 7}

2. A ∩ B = {3, 4}

3. B ∩ C = {6, 7}

(B ∩ C) ∪ D
= {6, 7} ∪ {7, 8, 9, 10}
= {6, 7, 8, 9, 10}

4. B ∪ C ∪ D = (B ∪ C) ∪ D

B ∪ C = {3, 4, 5, 6, 7, 8, 9}
(B ∪ C) ∪ D
= {3, 4, 5, 6, 7, 8, 9}∪{7, 8, 9,10}
= {3, 4, 5, 6, 7, 8, 9, 10}

5. (A ∩ B) ∩ (B ∪ C)
= {3, 4} ∩ {3, 4, 5, 6, 7, 8, 9}
= {3, 4}

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If A = {1, 2, 3, 4} B = {3, 4, 5, 6, 7} C = {6, 7, 8, 9} D = {7, 8, 9, 10} ColumnAColumnB1.A∪B A. {3,4,6,7} 2.A∩B B. ∅ 3.(B∩C)∪D C. {3,4} 4. B∪C∪D D. {3,4,5,6,7,8,9,10} 5. (A∩B)∩(B∪C) E. {1,2,3,4,5,6,7} F. {6,7,8,9,10} G. {7}